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QUESTION 6 The enthalpy departure in terms of volume-explicit [v=v(T,P)] volumetric EOS is given by Equation (4C) below: h(T,P)dep=P=0P=P[vT(Tv)P]dPEq.(4C) i) Transform (showing your calculations clearly)

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QUESTION 6 The enthalpy departure in terms of volume-explicit [v=v(T,P)] volumetric EOS is given by Equation (4C) below: h(T,P)dep=P=0P=P[vT(Tv)P]dPEq.(4C) i) Transform (showing your calculations clearly) Eq. (4C) to h(T,P)dep in terms of the compressibility factor (Z) and pressure-explicit [P=P(T,v)] volumetric EOS [7 marks] ii) Use your answer in Q4 C (i) above and the van der Waals (VdW) EOS, calculate the molar enthalpy departure for 0.0016m3 of butane at 2MPa and 433K [10 marks] Data VdW EOS: P=vbROTv2a;a=1.4m6Pa/mol2;b=0.00012m3/mol;R0=8.314 J/molK;Z=0.81

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